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arXiv · 1606.08360

2D Constrained Navier-Stokes Equations

Zdzisław Brzeźniak·Gaurav Dhariwal·Mauro Mariani
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Abstract

We study 2D Navier-Stokes equations with a constraint on $L^2$ energy of the solution. We prove the existence and uniqueness of a global solution for the constrained Navier-Stokes equation on $\R^2$ and $\T$, by a fixed point argument. We also show that the solution of constrained Navier-Stokes converges to the solution of Euler equation as viscosity $\nu$ vanishes.

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Zdzisław Brzeźniak, Gaurav Dhariwal, Mauro Mariani. 2016-06-27. 2D Constrained Navier-Stokes Equations. https://doi.org/10.1016/j.jde.2017.11.005

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